Entanglement Induced Fluctuations of Cold Bosons
Ram Brustein, Amos Yarom

TL;DR
This paper demonstrates that entanglement causes quantum fluctuations in cold bosons to differ markedly from classical statistical fluctuations, with energy fluctuations exhibiting non-extensive behavior, and discusses potential measurement approaches.
Contribution
It provides a calculation of quantum fluctuations in particle number and energy in a pure bosonic state, highlighting the impact of entanglement on these fluctuations.
Findings
Quantum fluctuations differ from statistical fluctuations due to entanglement.
Energy fluctuations are non-extensive in nature.
Potential measurement methods for quantum fluctuations are discussed.
Abstract
We show that due to entanglement, quantum fluctuations may differ significantly from statistical fluctuations. We calculate quantum fluctuations of the particle number and of the energy in a sub-volume of a system of bosons in a pure state, and briefly discuss the possibility of measuring them. We find that energy fluctuations have a non-extensive nature.
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